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382840944 = 24341474139
BaseRepresentation
bin10110110100011…
…011000001110000
3222200101100001020
4112310123001300
51241001402234
6101553335440
712326044233
oct2664330160
9880340036
10382840944
11187116082
12a8267580
1361414305
1438bb941a
1523924549
hex16d1b070

382840944 has 80 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 121822720.

The previous prime is 382840943. The next prime is 382840993. The reversal of 382840944 is 449048283.

It is a super-2 number, since 2×3828409442 = 293134376805622272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382840896 and 382840905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382840943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90427 + ... + 94565.

It is an arithmetic number, because the mean of its divisors is an integer number (12936672).

Almost surely, 2382840944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382840944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

382840944 is an abundant number, since it is smaller than the sum of its proper divisors (652092816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382840944 is a wasteful number, since it uses less digits than its factorization.

382840944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 382840944 is about 19566.3216778218. The cubic root of 382840944 is about 726.1161999346.

The spelling of 382840944 in words is "three hundred eighty-two million, eight hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 82 94 123 141 164 188 246 282 328 376 492 564 656 752 984 1128 1927 1968 2256 3854 4139 5781 7708 8278 11562 12417 15416 16556 23124 24834 30832 33112 46248 49668 66224 92496 99336 169699 194533 198672 339398 389066 509097 583599 678796 778132 1018194 1167198 1357592 1556264 2036388 2334396 2715184 3112528 4072776 4668792 7975853 8145552 9337584 15951706 23927559 31903412 47855118 63806824 95710236 127613648 191420472 382840944